Least Common Multiple of 6952 and 6954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6952 and 6954 the smallest integer that is 24172104 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6954 is 24172104.

LCM(6952,6954) = 24172104

LCM of 6952 and 6954

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6952 and 6954

LCM of 6952 and 6954 is 24172104

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6954. First we will calculate the prime factors of 6952 and 6954.

Prime Factorization of 6952


2 6952
2 3476
2 1738
11 869
79 79
1

Prime factors of 6952 are 2, 11,79. Prime factorization of 6952 in exponential form is:

6952 = 23×111×791

Prime Factorization of 6954


2 6954
3 3477
19 1159
61 61
1

Prime factors of 6954 are 2, 3, 19,61. Prime factorization of 6954 in exponential form is:

6954 = 21×31×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6954.

LCM(6952,6954) = 23×31×111×191×611×791
LCM(6952,6954) = 24172104

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954

Least Common Multiple of 6952 and 6954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6952 and 6954, than apply into the LCM equation.

GCF(6952,6954) = 2
LCM(6952,6954) = ( 6952 × 6954) / 2
LCM(6952,6954) = 48344208 / 2
LCM(6952,6954) = 24172104

Properties of LCM 6952 and 6954

(i) The LCM of 6954 and 6952 is associative

LCM of 6952 and 6954 = LCM of 6954 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6954

Frequently Asked Questions on LCM of 6952 and 6954

1. What is the LCM of 6952 and 6954?

Answer: LCM of 6952 and 6954 is 24172104.

2. What are the Factors of 6952?

Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.

3. What are the Factors of 6954?

Answer: Factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954. There are 16 integers that are factors of 6954. The greatest factor of 6954 is 6954.

4. How to Find the LCM of 6952 and 6954?

Answer:

Least Common Multiple of 6952 and 6954 = 24172104

Step 1: Find the prime factorization of 6952

6952 = 2 x 2 x 2 x 11 x 79

Step 2: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24172104 = 2 x 2 x 2 x 3 x 11 x 19 x 61 x 79

Step 4: Therefore, the least common multiple of 6952 and 6954 is 24172104.